415404612000 has 1344 divisors, whose sum is σ = 1790219418624. Its totient is φ = 92714803200.

The previous prime is 415404611977. The next prime is 415404612011. The reversal of 415404612000 is 216404514.

415404612000 is a `hidden beast` number, since 4 + 1 + 5 + 40 + 4 + 612 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 959363784 + ... + 959364216.

It is an arithmetic number, because the mean of its divisors is an integer number (1332008496).

Almost surely, 2^415404612000 is an apocalyptic number.

415404612000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415404612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895109709312).

415404612000 is an abundant number, since it is smaller than the sum of its proper divisors (1374814806624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

415404612000 is an equidigital number, since it uses as much as digits as its factorization.

415404612000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 415404612000 in words is "four hundred fifteen billion, four hundred four million, six hundred twelve thousand".